math help

What is 100/50 + 1/5?

What is 100/50 + 1/5?

This is how you add

100
50
+
1
5

Step 1

Now we need to make our denominators match.

Since 5 is evenly divided by 50, we can multiply just one term to get a common denominator.

Multiply 1 by 10, and get 10, then we multiply 5 by 10 and get 50.

1/5 times 10

So now our fractions look like this:

100
50
+
10
50

Step 2

Since our denominators match, we can add the numerators.

100 + 10 = 110

Now we have an answer.

110
50

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

110
50
÷ 2 =
55
25

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

55
25
÷ 5 =
11
5

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

There you have it! Here's the final answer to 100/50 + 1/5

100
50
+
1
5
=
11
5
© 2014 Randy Tayler